Statistical Inference Questions Use the following scenario to answer questions 1

Question

Statistical Inference Questions

Use the following scenario to answer questions 1 – 5

A university is interested in the holistic wellness of students attending the institution. Given extensive wellness programming that occurs each year, the university believes students’ wellness improves each year they are enrolled. In order to determine if this is true, the university will take a wellness measurement on students (wellness score) and compare by classification (freshman, sophomore, junior, senior) to see if there are differences.

What type of ANOVA would be appropriate for the described scenario? For example, 1 X 5 ANOVA, 2 X 6 ANOVA, etc.

What is the way in the scenario?

How many levels are in the way?

What is the HO?

What is the two-tailed H1?

Using the previous scenario with only freshman and seniors (exclude sophomores and juniors), please answer questions 6 - 10

What test of statistical significance is appropriate to compare freshman and seniors?

What is the dependent variable(s)?

What is the independent variable(s)?

What is the HO?

What is the one-tailed H1?

Explanation / Answer

Question 1

A 1X4 ANOVA would be appropriate for the described scenario.

Question 2

Way in the scenario is one way.

Question 3

There are four levels in the way.

Question 4

The null hypothesis for the given scenario is given as below:

Null hypothesis: H0: The average wellness scores for freshman, sophomore, junior, and senior are same.

Question 5

The alternative hypothesis is given as below:

Alternative hypothesis: Ha: The average wellness scores for freshman, sophomore, junior, and senior are not same.

Question 6

For the given scenario, a two sample t test for population means is appropriate to compare freshman and seniors.

Question 7

The dependent variable is given as wellness score.

Question 8

The independent variable is given as grades/class of student.

Question 9

The null hypothesis is given as below:

H0: The average wellness scores for freshman and senior are same.

Question 10

H1: The average wellness score for freshman is greater than average wellness score for senior.

(H1: The average wellness score for senior is greater than average wellness score for freshman.)

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